| 非线性耦合Ginzburg-Landau方程组的整体吸引子 |
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| 引用本文： | 陈兆蕙,杨林,李泽华.非线性耦合Ginzburg-Landau方程组的整体吸引子[J].湖南文理学院学报(自然科学版),2010,22(3):9-11. |
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| 作者姓名： | 陈兆蕙 杨林 李泽华 |
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| 作者单位： | 华南农业大学珠江学院,基础教学部,广东,广州,510900;湖南大学,数学与计量经济学院,湖南,长沙,410012;华南农业大学,理学院,广东,广州,510642 |
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| 基金项目： | 国家自然科学基金，华南农业大学校长科学基金 |
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| 摘 要： | 为研究系数与时间有关的一维非线性耦合Ginzburg-Landau方程组在周期边界条件下整体吸引子的存在性,采用经典的Galerkin逼近方法,得到了方程组在周期边界条件下整体解的存在性及唯一性,再利用能量方法,证明了整体吸引子的存在性.
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| 关 键 词： | Ginzburg-Landau耦合方程组 吸收集 整体吸引子 |
Global attractor of nonlinear coupled Ginzburg-Landau equations |
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| CHEN Zhao-hui,YANG Lin,LI Ze-hua.Global attractor of nonlinear coupled Ginzburg-Landau equations[J].Journal of Hunan University of Arts and Science:Natural Science Edition,2010,22(3):9-11. |
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| Authors: | CHEN Zhao-hui YANG Lin LI Ze-hua |
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| Institution: | CHEN Zhao-hui1,YANG Lin2,LI Ze-hua3(1.Public Elementary Teaching Department,Zhujiang College of South China Agricultural University,Guangzhou 510900,China,2.College of Mathematics and Econometrics,Hunan University,Changsha 410012,3.College of Science,South China Agricultural University,Guangzhou 510642,China) |
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| Abstract: | In order to study the global attractors of one dimensional nonlinear coupled Ginzburg-Landau equations with variable coefficients under the periodic boundary conditions,the existence and uniqueness of solution to the equations with boundary condition are proved by using the method of the classical Galerkin approximation method.And thus,the existence of global attractor is obtained by using energy method. |
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| Keywords: | coupled Ginzburg-Landau equations absorbing set global attractor |
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